Read e-book Étale Cohomology of Rigid Analytic Varieties and Adic Spaces

Free download. Book file PDF easily for everyone and every device. You can download and read online Étale Cohomology of Rigid Analytic Varieties and Adic Spaces file PDF Book only if you are registered here. And also you can download or read online all Book PDF file that related with Étale Cohomology of Rigid Analytic Varieties and Adic Spaces book. Happy reading Étale Cohomology of Rigid Analytic Varieties and Adic Spaces Bookeveryone. Download file Free Book PDF Étale Cohomology of Rigid Analytic Varieties and Adic Spaces at Complete PDF Library. This Book have some digital formats such us :paperbook, ebook, kindle, epub, fb2 and another formats. Here is The CompletePDF Book Library. It's free to register here to get Book file PDF Étale Cohomology of Rigid Analytic Varieties and Adic Spaces Pocket Guide.

Math , vol. De-jong, M. Van, and.

Étale Cohomology of Schemes and Analytic Spaces | gyqacyxaja.cf

Faltings , The trace formula and Drinfeld's upper halfplane, Duke Math , pp. Faltings , Coverings of p-adic period domains , Journal f?? Fargues and L. Fargues , La filtration de Harder-Narasimhan des sch?? Fontaine and M. Fujiwara , Rigid geometry, Lefschetz-Verdier trace formula and Deligne??? Harris , Supercuspidal representations in the cohomology of Drinfel'd upper half spaces; elaboration of Carayol's program , Inventiones Mathematicae , vol. Harris and R. Taylor , The geometry and cohomology of some simple Shimura varieties , Ann.

SearchWorks Catalog

Stud , vol. Huber , Continuous valuations , Mathematische Zeitschrift , vol. Huber , A generalization of formal schemes and rigid analytic varieties , Mathematische Zeitschrift , vol. Huber , A comparison theroem for l-adic cohomology , Compositio Mathematica , vol. Huber , Un r?? Gross and M. Soc , vol. Kazhdan , Cuspidal geometry ofp-adic groups , Journal d'Analyse Math?? Imai and Y. Mieda , Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type. Ito and Y. Mieda , Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for , GSp , issue.

Kottwitz , Isocrystals with additional structures , Compositio Math , vol. Kottwitz , Shimura varieties and? Kudla and M. Rapoport , Special cycles on unitary Shimura varieties I.?? Unramified local theory , Inventiones mathematicae , vol. Rapoport , Cycles on Siegel threefolds and derivatives of Eisenstein series , Annales Scientifiques de l'????

Mantovan , On non-basic Rapoport-Zink spaces , Annales scientifiques de l'?? Mantovan and E. Viehmann , On the Hodge??? Mieda , Non-cuspidality outside the middle degree of??? Tate tower , Advances in Mathematics , vol. Mieda , Lefschetz trace formula for open adic spaces , Journal f??

Tate tower , Mathematical Research Letters , vol. Moeglin , Classification et changement de base pour les s?? Rapoport , Non-archimedean period domains , Proceedings of the International Congress of Mathematicians , pp. Richartz and M.

Wiesława Nizioł: On comparison theorems for rigid analytic spaces

The idea of crystalline cohomology in characteristic 0 is to find a direct definition of a cohomology theory as the cohomology of constant sheaves on a suitable site. The site Inf X is a category whose objects can be thought of as some sort of generalization of the conventional open sets of X. Grothendieck showed that for smooth schemes X over C , the cohomology of the sheaf O X on Inf X is the same as the usual smooth or algebraic de Rham cohomology.

In characteristic p the most obvious analogue of the crystalline site defined above in characteristic 0 does not work. Grothendieck solved this problem by defining objects of the crystalline site of X to be roughly infinitesimal thickenings of Zariski open subsets of X , together with a divided power structure giving the needed divided powers.

More generally one can work over a base scheme S which has a fixed sheaf of ideals I with a divided power structure. A key point of the theory is that the crystalline cohomology of a smooth scheme X over k can often be calculated in terms of the algebraic de Rham cohomology of a proper and smooth lifting of X to a scheme Z over W.

Find a copy in the library

There is a canonical isomorphism. Conversely the de Rham cohomology of X can be recovered as the reduction mod p of its crystalline cohomology after taking higher Tor s into account. This is similar to the definition of a quasicoherent sheaf of modules in the Zariski topology. The term crystal attached to the theory, explained in Grothendieck's letter to Tate , was a metaphor inspired by certain properties of algebraic differential equations.

Product details

These had played a role in p -adic cohomology theories precursors of the crystalline theory, introduced in various forms by Dwork , Monsky , Washnitzer, Lubkin and Katz particularly in Dwork's work. Such differential equations can be formulated easily enough by means of the algebraic Koszul connections , but in the p -adic theory the analogue of analytic continuation is more mysterious since p -adic discs tend to be disjoint rather than overlap.

  • Velleius Paterculus: Compendium of Roman History; Res gestae divi Augusti (Loeb Classical Library).
  • Narcissism and Its Discontents.
  • Simulations as Scaffolds in Science Education;

By decree, a crystal would have the 'rigidity' and the 'propagation' notable in the case of the analytic continuation of complex analytic functions. From Wikipedia, the free encyclopedia.

Seminar on Topics in Arithmetic, Geometry, Etc.

Main article: Crystal mathematics. Categories : Algebraic geometry Cohomology theories Homological algebra. Hidden categories: CS1 errors: deprecated parameters. Namespaces Article Talk.

  • Swipe to navigate through the chapters of this book?
  • The Economist - 15 September 2001.
  • Stanford Libraries.
  • Etale Cohomology of Rigid Analytic Varieties and Adic Spaces!